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10140100633404 = 22327419710117801
BaseRepresentation
bin1001001110001110110100…
…0110001010001100111100
31022220101101001021211122200
42103203231012022030330
52312113411230232104
633322144203511500
72064412101154410
oct223435506121474
938811331254580
1010140100633404
11325a435501565
121179277228590
135872908233c1
14270ad7c74d40
15128b798e1b39
hex938ed18a33c

10140100633404 has 144 divisors (see below), whose sum is σ = 30317467567296. Its totient is φ = 2797369344000.

The previous prime is 10140100633393. The next prime is 10140100633441. The reversal of 10140100633404 is 40433600104101.

10140100633404 is a `hidden beast` number, since 1 + 0 + 14 + 0 + 10 + 0 + 633 + 4 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4056697 + ... + 6061104.

Almost surely, 210140100633404 is an apocalyptic number.

10140100633404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10140100633404 is an abundant number, since it is smaller than the sum of its proper divisors (20177366933892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10140100633404 is a wasteful number, since it uses less digits than its factorization.

10140100633404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10117956 (or 10117951 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10140100633404 its reverse (40433600104101), we get a palindrome (50573700737505).

The spelling of 10140100633404 in words is "ten trillion, one hundred forty billion, one hundred million, six hundred thirty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 97 123 126 164 194 246 252 287 291 369 388 492 574 582 679 738 861 873 1148 1164 1358 1476 1722 1746 2037 2583 2716 3444 3492 3977 4074 5166 6111 7954 8148 10332 11931 12222 15908 23862 24444 27839 35793 47724 55678 71586 83517 111356 143172 167034 250551 334068 501102 1002204 10117801 20235602 30353403 40471204 60706806 70824607 91060209 121413612 141649214 182120418 212473821 283298428 364240836 414829841 424947642 637421463 829659682 849895284 981426697 1244489523 1274842926 1659319364 1962853394 2488979046 2549685852 2903808887 2944280091 3733468569 3925706788 4977958092 5807617774 5888560182 6869986879 7466937138 8711426661 8832840273 11615235548 11777120364 13739973758 14933874276 17422853322 17665680546 20609960637 26134279983 27479947516 34845706644 35331361092 40238494577 41219921274 52268559966 61829881911 80476989154 82439842548 104537119932 120715483731 123659763822 160953978308 241430967462 247319527644 281669462039 362146451193 482861934924 563338924078 724292902386 845008386117 1126677848156 1448585804772 1690016772234 2535025158351 3380033544468 5070050316702 10140100633404